Answer:
The answer is below
Step-by-step explanation:
a)
1/4x + 5/2x - 2 = 4 - 1/4x
collecting like terms:
(1/4)x + (5/2)x + (1/4)x = 4 + 2
3x = 6
x = 6/3
x = 2
b)
7.9x + x + 4 = -1.1x - 16
collecting like terms:
7.9x + x + 1.1x = - 16 - 4
10x = -20
x = -2
c)
3.2x + 5.7 = -2.5x
collecting like terms:
3.2x + 2.5x = 5.7
5.7x = 5.7
x = 1
d)
10.1x - 1.6x + 44 = -7
collecting like terms:
10.1x - 1.6x = -7 - 44
8.5x = -51
x = -6
Hence the equations in increasing order of the value of their solutions is:
10.1x - 1.6x + 44 = -7
7.9x + x + 4 = -1.1x - 16
3.2x + 5.7 = -2.5x
1/4x + 5/2x - 2 = 4 - 1/4x
Answer:
AC = 12 cm
Step-by-step explanation:
AB=9 centimeters, you figure out what times what is 9. in this case, it is 3 for A and B. Then you go to BC=12 and 3 for B and 4 for C making it 12 So AC would equal 3x4.
Answer:
x = 20
Step-by-step explanation:
m<ABC and m<CBA are complementary angles which means their sum is 90 degrees:
2x + 3x - 10 = 90 add like terms
5x - 10 = 90 add 10 to both sides
5x = 100 divide both sides by 5
x = 20 to find the angles replace x with 20
m<ABC = 40 and
m<CBA = 50
The sides of the frame are (12+2x) and (6+2x).
Its area A is 112.
Therefore by equating:
(12+2x)*(6+2x)=112
you can get the answer for x. You will obtain a quadratic equation you have to solve.
Answer:
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